EXPLICIT EXPRESSIONS OF THE BARNETT-LOTHE TENSORS FOR ANISOTROPIC MATERIALS

The three Barnett-Lothe tensors S, H, and L appear frequently in the r eal from solutions of two-dimensional anisotropic elasticity problems. Explicit expressions for the components of these tensors are presente d for general anisotropic materials. The special cases of monoclinic m aterials with the plane of material symmetry at x3 = 0, x2 = 0, and x1 = 0 are then deduced. For monoclinic materials with the symmetry plan e at x2 = 0 or x1 = 0, the locations of image singularities for the Gr een's functions for a half-space have a special geometry.